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Finding the Fourth Proportional to 581,228.88, 870,219.24 and 314,032.04

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Solution

The fourth proportional to 581,228.88, 870,219.24 and 314,032.04 is: 470,170.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    581,228.88 : 870,219.24 = 314,032.04 : x
  2. Step 2: Convert to fraction form
    581,228.88/870,219.24 = 314,032.04/x
  3. Step 3: Cross multiply
    581,228.88x = 870,219.24 × 314,032.04
  4. Step 4: Simplify right side
    581,228.88x = 273,276,723,184.45
  5. Step 5: Solve for x
    x = 273,276,723,184.45/581,228.88
  6. Step 6: Final answer
    x = 470,170.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.